US11556416B2 - Controlling memory readout reliability and throughput by adjusting distance between read thresholds - Google Patents
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- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
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- H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
- H03M13/65—Purpose and implementation aspects
- H03M13/6577—Representation or format of variables, register sizes or word-lengths and quantization
- H03M13/6588—Compression or short representation of variables
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- G06F11/08—Error detection or correction by redundancy in data representation, e.g. by using checking codes
- G06F11/10—Adding special bits or symbols to the coded information, e.g. parity check, casting out 9's or 11's
- G06F11/1008—Adding special bits or symbols to the coded information, e.g. parity check, casting out 9's or 11's in individual solid state devices
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- H03M13/03—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
- H03M13/05—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
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Definitions
- Embodiments described herein relate generally to data storage, and particularly to methods and systems for controlling memory readout reliability and throughput by adjusting a distance between read thresholds.
- a memory controller stores data in memory cells of a memory device. Upon reading data from the memory cells, the memory device may send to the memory controller confidence levels associated with the data bits read, to be used in soft decoding. The memory device may send the confidence levels to the memory controller in a compressed form, to reduce bandwidth on the channel between the memory device and the memory controller.
- U.S. Pat. No. 9,229,861 describes a method for data storage that includes storing data in a group of analog memory cells by writing respective input storage values to the memory cells in the group. After storing the data, respective output storage values are read from the analog memory cells in the group. Respective confidence levels of the output storage values are estimated, and the confidence levels are compressed. The output storage values and the compressed confidence levels are transferred from the memory cells over an interface to a memory controller.
- An embodiment that is described herein provides an apparatus for data storage that includes an interface and a processor.
- the interface is configured to communicate with a memory device that includes (i) a plurality of memory cells and (ii) a data compression module.
- the processor is configured to determine a maximal number of errors that are required to be corrected by applying a soft decoding scheme to data retrieved from the memory cells, and based on the maximal number of errors, to determine an interval between multiple read thresholds for reading Code Words (CWs) stored in the memory cells for processing by the soft decoding scheme, so as to meet following conditions: (i) the soft decoding scheme achieves a specified decoding capability requirement, and (ii) a compression rate of the compression module when applied to confidence levels corresponding to readouts of the CWs, achieves a specified readout throughput requirement.
- CWs Code Words
- the processor is configured to determine the interval by estimating multiple attainable compression rates for different respective settings of the interval, and to select a setting of the interval that meets the conditions. In other embodiments, the processor is configured to determine the interval for maximizing the readout throughput from the memory device. In yet other embodiments, the processor is configured to determine the interval for minimizing a probability of decoding failure in decoding CWs using the soft decoding scheme.
- the processor is configured to decide to apply to subsequent CWs read from the memory cells a hard decoding scheme or the soft decoding scheme, based on an average number of errors detected in previously read CWs.
- the processor is configured to decide to apply the soft decoding scheme to subsequent CWs read from the memory cells, in response to detecting that a first readout throughput achievable using hard decoding is smaller than a second readout throughput achievable using soft decoding with confidence levels that were compressed by the compression module.
- the processor is configured to set a data rate of the interface depending on the compression rate being configured.
- the processor is configured to identify low parallelism random readout operations that are not constrained by a data rate of the interface, and to set the compression module so as not to compress confidence levels of the identified readout operations.
- the memory cells belong to multiple dies, and the processor is configured to read compressed confidence levels from a first die among the multiple dies while one or more other dies among the multiple dies are occupied in compressing local confidence levels.
- the data compression module supports multiple compression configurations, and the processor is configured to select a compression configuration among the supported compression configurations that meets the readout throughput requirement.
- the multiple compression configurations have multiple respective constant compression rates.
- the processor is configured to configure the data compression module to produce compressed confidence levels using a variable-rate compression configuration, and to receive the compressed confidence levels via the interface in multiple data segments having respective data lengths, in accordance with the variable-rate compression configuration.
- the compression module supports a lossy compression scheme, and the processor is configured to estimate the maximal number of errors, depending on a number of errors contributed by the lossy compression scheme.
- the processor is configured to determine the interval so as to achieve a specified tradeoff between soft decoding capability and readout throughput.
- a method for data storage including, in a memory controller that communicates with a memory device that includes (i) a plurality of memory cells and (ii) a data compression module, determining a maximal number of errors that are required to be corrected by applying a soft decoding scheme to data retrieved from the memory cells.
- an interval between multiple read thresholds for reading Code Words (CWs) stored in the memory cells for processing by the soft decoding scheme is determined, so as to meet following conditions: (i) the soft decoding scheme achieves a specified decoding capability requirement, and (ii) a compression rate of the compression module when applied to confidence levels corresponding to readouts of the CWs, achieves a specified readout throughput requirement.
- an apparatus for data storage including an interface and a processor.
- the interface is configured to communicate with a memory device that includes a plurality of memory cells.
- the processor is configured to determine a maximal number of errors that are required to be corrected by applying a soft decoding scheme to data retrieved from the memory cells, and based on the maximal number of errors, to determine an interval between multiple read thresholds for reading Code Words (CWs) stored in the memory cells for processing by the soft decoding scheme, so that the soft decoding scheme achieves a specified decoding capability requirement.
- CWs Code Words
- the processor is configured to determine the interval so that the soft decoding scheme aims to correct the maximal number of errors with a lowest decoding failure rate.
- the processor is configured to determine the maximal number of errors by modeling underlying voltage distributions as Gaussian distributions and calculating the maximal number of errors based on the estimated Gaussian distributions.
- the processor is configured to model the Gaussian distributions by determining a number of memory cells that fall between adjacent read thresholds, and calculating a variance parameter of the Gaussian distributions based on the estimated number of memory cells.
- the processor is configured to determine the maximal number of errors by retrieving a CW from the memory cells using a single read threshold, decoding the retrieved CW using a hard decoding scheme for producing a decoded CW, and in response to detecting that the CW is successfully decodable using the hard decoding scheme, to calculate the maximal number of errors by comparing between the retrieved CW and the decoded CW.
- the processor is configured to determine the interval by mapping the maximal number of errors into the interval using a predefined function.
- the predefined function is based on finding, for selected numbers of errors, respective intervals that aim to maximize mutual information measures between CWs as stored in the memory cells and respective readouts of the CWs retrieved from the memory cells.
- a method for data storage including, in a memory controller that communicates with a memory device that includes a plurality of memory cells, determining a maximal number of errors that are required to be corrected by applying a soft decoding scheme to data retrieved from the memory cells. Based on the maximal number of errors, an interval between multiple read thresholds for reading Code Words (CWs) stored in the memory cells for processing by the soft decoding scheme is determined, for achieving a specified decoding capability requirement.
- CWs Code Words
- an apparatus for data storage including an interface and a processor.
- the interface is configured to communicate with a memory device that includes (i) a plurality of memory cells and (ii) a data compression module.
- the processor is configured to select an interval between multiple read thresholds for reading Code Words (CWs) stored in the memory cells for processing by a soft decoding scheme, based on the selected interval, to estimate statistical properties of confidence levels corresponding to readouts of the CWs, and based on the estimated statistical properties, to determine an attainable compression rate for compressing the confidence levels, the attainable compression rate dictates a corresponding attainable readout throughput, and to configure the compression module in accordance with the attainable compression rate for transmitting the compressed confidence levels at the attainable readout throughput.
- CWs Code Words
- the processor is configured to estimate the statistical properties by estimating a ratio between a first number of the confidence levels indicative of a low confidence level and a second overall number of the confidence levels. In other embodiments, the processor is configured to determine the attainable compression rate by mapping the ratio into the attainable compression rate using a predefined function.
- method for data storage including, in a memory controller that communicates with a memory device that includes (i) a plurality of memory cells and (ii) a data compression module, selecting an interval between multiple read thresholds for reading Code Words (CWs) stored in the memory cells for processing by a soft decoding scheme. Based on the selected interval, statistical properties of confidence levels corresponding to readouts of the CWs are estimated. Based on the estimated statistical properties, an attainable compression rate for compressing the confidence levels is determined, the attainable compression rate dictates a corresponding attainable readout throughput.
- the compression module is configured in accordance with the attainable compression rate for transmitting the compressed confidence levels at the attainable readout throughput.
- FIG. 1 is a block diagram that schematically illustrates a memory system, in accordance with an embodiment that is described herein;
- FIG. 2 is a flow chart that schematically illustrates a method for adjusting the interval between read thresholds for meeting soft decoding and readout throughput requirements, in accordance with an embodiment that is described herein;
- FIG. 3 is a diagram that schematically illustrates graphs depicting attainable readout throughputs corresponding to stress levels applied to the memory device, in accordance with an embodiment that is described herein;
- FIG. 4 is a flow chart that schematically illustrates a method for optimizing soft decoding capabilities by adapting an interval between read thresholds, in accordance with an embodiment that is described herein;
- FIG. 5 is a flow chart that schematically illustrates a method for determining an interval between read thresholds that is optimal for a given stress level, in accordance with an embodiment that is described herein;
- FIG. 6 is a flow chart that schematically illustrates a method for estimating the attainable compression rate of confidence levels depending on the interval between read thresholds, in accordance with an embodiment that is described herein;
- FIG. 7 is a diagram that schematically illustrates efficient scheduling in sending hard data and compressed confidence levels from two dies to the memory controller over a common channel, in accordance with an embodiment that is described herein.
- Embodiments that are described herein provide methods and system for controlling readout reliability and throughput from memory cells, by adjusting a distance between read threshold.
- Memory cells in a memory device may become stressed for various reasons such as aging, the number of program/erase cycles applied, retention, disturbances from neighboring memory cells and the like. As the stress level to which the memory cells are subjected increases, readout reliability degrades, and data retrieved from these memory cells may contain a larger number of errors.
- the data is typically stored in the memory cells encoded using a suitable Error Correction Code (ECC) and decoded using the ECC upon reading to recover the unencoded data.
- ECC Error Correction Code
- Decoding the ECC may be carried out using various types of decoding schemes, e.g., a hard decoding scheme or a soft decoding scheme.
- hard decoding for a given position of the read threshold, a data unit is read once from a group of memory cells using the given read threshold.
- soft decoding multiple readouts are read from the same group of memory cells using respective multiple read thresholds in the vicinity of the given read threshold, and each readout is assigned corresponding confidence levels that may improve soft decoding performance.
- Soft decoding schemes typically have higher decoding capabilities than hard decoding schemes, meaning that soft decoding can correct a higher number of errors in a read data unit compared to hard decoding.
- the decoding capabilities of a soft decoding scheme depend on the positions of the read thresholds used, and more specifically on the distance between adjacent read thresholds, which distance is also referred to herein as a “sampling interval” or simply “interval” for brevity.
- a larger sampling interval between the read thresholds results in better soft decoding performance.
- Increasing the sampling interval above a certain point may, however, result in decreasing soft decoding performance of the soft decoding scheme.
- the confidence levels associated respectively with the multiple readouts are sent to the memory controller to be used by the ECC soft decoder, which may reduce the readout throughput over the interface between the memory controller and the memory device significantly.
- Methods for reducing the amount of data sent over the interface by applying data compression to the confidence levels on the memory side and de-compression in the memory controller side are described, for example, in U.S. Pat. No. 9,229,861, whose disclosure is incorporated herein by reference. (In the event of any inconsistencies between any incorporated document and this document, it is intended that this document control.)
- soft decoding performance and the attainable compression ratio of the confidence levels are affected by the sampling interval between the read thresholds.
- the attainable compression rate of the confidence levels is also affected by the number of readout errors, which may alter the statistical properties of the confidence levels, and therefore also their attainable compressibility.
- the soft decoder may be able to correct a larger number of errors, but the attainable compression rate of the confidence levels may decrease, and vice versa.
- a tradeoff thus exists between readout throughput (or compression rate) and the soft decoding performance that may be measured, for example, by the number of errors that can be corrected using soft decoding, e.g., with a lowest decoding failure rate.
- the tradeoff between soft decoding performance and readout throughput can be controlled by adapting the sampling interval between the read thresholds used for the soft decoding.
- the memory cells experience low levels of stress, modest error correction capabilities may be sufficient, which allows achieving a relatively high compression rate and therefore a high readout throughput.
- larger soft decoding capabilities are required, in which case a low compression rate and therefore lower readout throughput may be attainable.
- an apparatus for data storage comprising an interface and a processor.
- the interface is configured to communicate with a memory device that comprises (i) a plurality of memory cells and (ii) a data compression module.
- the processor is configured to determine a maximal number of errors that are required to be corrected by applying a soft decoding scheme to data retrieved from the memory cells, and to determine, based on the maximal number of errors, an interval between multiple read thresholds for reading Code Words (CWs) stored in the memory cells for processing by the soft decoding scheme, so as to meet following conditions: (i) the soft decoding scheme achieves a specified decoding capability requirement, and (ii) a compression rate of the compression module when applied to confidence levels corresponding to readouts of the CWs, achieves a specified readout throughput requirement.
- CWs Code Words
- the processor determines the interval by estimating multiple attainable compression rates for different respective settings of the interval and selects a setting of the interval that meets the conditions. In other embodiments, the processor determines the interval for maximizing the readout throughput from the memory device. To maximize decoding capabilities, the processor may determine the interval for minimizing a probability of decoding failure in decoding CWs using the soft decoding scheme.
- the processor applies hard decoding or soft decoding as appropriate. For example, the processor may decide to apply to subsequent CWs read from the memory cells a hard decoding scheme or the soft decoding scheme, based on an average number of errors detected in previously read CWs. In an embodiment, the processor decides to apply the soft decoding scheme to subsequent CWs read from the memory cells, in response to detecting that a first readout throughput achievable using hard decoding is smaller than a second readout throughput achievable using soft decoding with confidence levels that were compressed by the compression module.
- the throughput in using hard decoding may fall below the throughput in soft decoding because in response to hard decoding failure the processor may trigger additional decoding stages, resulting in increased latency.
- the processor sets a data rate (or an operational clock frequency) of the interface depending on the compression rate being configured. For example, when the compression rate is higher, the processor may set a higher data rate to compensate for the read performance loss, at the expense of higher thermal power.
- the processor may decide to apply data compression to the confidence levels depending on underlying methods used for retrieving data from one or more dies. For example, the processor may identify low parallelism random readout operations that are not constrained by a data rate of the interface, and in response, set the compression module so as not to compress the confidence levels of the identified readout operations. The compression of confidence levels often increases readout latency, and therefore it may be beneficial not to compress at low parallelism. In an embodiment in which the memory cells belong to multiple dies, the processor may read compressed confidence levels from a first die among the multiple dies while one or more other dies among the multiple dies are occupied in compressing local confidence levels.
- the data compression module supports multiple compression configurations, and the processor selects a compression configuration among the supported compression configurations that meets the readout throughput requirement.
- the multiple compression configurations may have multiple respective constant compression rates.
- the processor configures the data compression module to produce compressed confidence levels using a variable-rate compression configuration.
- the processor receives the compressed confidence levels via the interface in multiple data segments having respective data lengths, in accordance with the variable-rate compression configuration.
- the processor may estimate the maximal number of correctable errors (to be used for determining the interval), depending on a number of errors contributed by the lossy compression scheme.
- the processor determines the interval so as to achieve a specified tradeoff between soft decoding capability and readout throughput. For example, it may be required to reduce soft decoding performance in order to increase readout throughput.
- the processor determines the interval to maximize decoding capabilities, without imposing any requirements on the readout throughput. For example, the processor may determine the interval so that the soft decoding scheme aims to correct a specified maximal number of errors with a lowest decoding failure rate.
- the processor determines the maximal number of errors by modeling underlying voltage distributions as Gaussian distributions, and calculating the maximal number of errors based on the estimated Gaussian distributions.
- the processor may determine a number of memory cells that fall between adjacent read thresholds and calculate a variance parameter (or a standard deviation parameter) of the Gaussian distributions based on the estimated number of memory cells.
- the processor may perform hard decoding to a readout sampled using a single read threshold, and if hard decoding succeeds, calculate the maximal number of errors by comparing between the readouts before and after the hard decoding operation.
- the processor is configured to map the maximal number of errors into the interval using a predefined function.
- the predefined function is based on finding, for selected numbers of errors, respective intervals that aim to maximize mutual information measures between CWs as stored in the memory cells and respective readouts of the CWs retrieved from the memory cells.
- the processor selects an interval between read thresholds using any suitable method, and determines the attainable compression for that selected interval. To this end, the processor estimates, based on the selected interval, statistical properties of confidence levels corresponding to readouts of the CWs, and based on the estimated statistical properties, determines the attainable compression rate, which also dictates a corresponding attainable readout throughput. The processor configures the compression module in accordance with the attainable compression rate for transmitting the compressed confidence levels at the attainable readout throughput.
- the processor may use any suitable statistical properties of the confidence levels.
- the processor estimates the statistical properties by estimating a ratio between a first number of the confidence levels indicative of a low confidence level and a second overall number of the confidence levels.
- the processor determines the attainable compression rate by mapping the ratio into the attainable compression rate using a predefined function.
- the interval between read thresholds is set to meet readout reliability and throughput requirements in transmitting compressed confidence levels from the memory device to the memory controller.
- the memory controller may monitor the stress applied to the memory cells along the lifetime of the memory device, and to adapt the interval to retain high reliability performance while gradually reducing readout throughput as the memory device ages or becoming subjected to higher stress levels.
- the memory controller may set the interval to meet a high readout reliability requirement or a high readout throughput requirement, independently.
- FIG. 1 is a block diagram that schematically illustrates a memory system 20 , in accordance with an embodiment that is described herein.
- System 20 can be used in various host systems and devices, such as in computing devices, cellular phones or other communication terminals, removable memory modules (e.g., “disk-on-key” devices), Solid State Disks (SSD), digital cameras, music and other media players and/or any other system or device in which data is stored and retrieved.
- SSD Solid State Disks
- the Memory cell array comprises multiple memory cells 32 , e.g., analog memory cells.
- the term “memory cell” is used to describe any memory cell that holds a continuous, analog level of a physical quantity, such as an electrical voltage or charge.
- Memory cell array 28 may comprise memory cells of any kind, such as, for example, NAND, NOR and CTF Flash cells, PCM, NROM, FRAM, MRAM and DRAM cells.
- Memory cells 32 may comprise Single-Level Cells (SLC) or Multi-Level Cells (MLC, also referred to as multi-bit cells).
- analog values or storage values The charge levels stored in the memory cells and/or the analog voltages or currents written into and read out of the memory cells are referred to herein collectively as analog values or storage values.
- analog values or storage values Although the embodiments described herein mainly address threshold voltages, the methods and systems described herein may be used with any other suitable kind of storage values.
- System 20 stores data in the memory cells by programming the memory cells to assume respective memory states, which are also referred to as programming levels.
- the programming states are selected from a finite set of possible states, and each state corresponds to a certain nominal storage value. For example, a 2 bit/cell MLC can be programmed to assume one of four possible programming states by writing one of four possible nominal storage values to the cell.
- Memory device 24 comprises a reading/writing (R/W) unit 36 , which converts data for storage in the memory device to storage values and writes them into memory cells 32 .
- the R/W unit does not perform the conversion, but is provided with voltage samples, i.e., with the storage values for storage in the cells.
- R/W unit 36 converts the storage values of memory cells 32 into digital samples having a resolution of one or more bits.
- the R/W unit typically reads data from memory cells 32 by comparing the storage values of the memory cells to one or more read thresholds. Data is typically written to and read from the memory cells in groups that are referred to as pages.
- the R/W unit can erase a group of memory cells 32 by applying one or more negative erasure pulses to the memory cells.
- memory controller 40 which communicates with device 24 over a suitable interface.
- memory controller 40 produces the storage values for storing in the memory cells and provides these values to R/W unit 36 .
- memory controller 40 may provide the data for storage, and the conversion to storage values is carried out by the R/W unit internally to the memory device.
- Memory controller 40 communicates with a host 44 , for accepting data for storage in the memory device and for outputting data retrieved from the memory device.
- controller 40 may comprise a microprocessor that runs suitable software, or a combination of hardware and software elements.
- R/W unit 36 comprises a data compression module 45 , which compresses some of the information that is to be sent to memory controller 40 .
- the memory controller comprises a data decompression module 46 , which decompresses the compressed information received from memory device 24 .
- R/W unit 36 may produce confidence levels of the storage values read from memory cells 32 , and data compression module 45 may compress these confidence levels and send the compressed confidence levels to memory controller 40 .
- data compression module 45 can also be used for compressing other types of information, such as stored data that is retrieved from memory cells 32 .
- Memory controller 40 uses the storage values read from cells 32 , and the associated confidence levels, to reconstruct the stored data.
- memory controller 40 comprises an Error Correction Code (ECC) module 47 , which encodes the data for storage using a suitable ECC, and decodes the ECC of the data retrieved from memory cells 32 .
- ECC module 47 may apply any suitable type of ECC, such as, for example, a Low-Density Parity Check (LDPC) code or a Bose-Chaudhuri-Hocquenghem (BCH) code.
- LDPC Low-Density Parity Check
- BCH Bose-Chaudhuri-Hocquenghem
- ECC module 47 uses the confidence levels to improve the ECC decoding performance.
- FIG. 1 is an example system configuration, which is shown purely for the sake of conceptual clarity. Any other suitable memory system configuration can also be used. Elements that are not necessary for understanding the principles of the present invention, such as various interfaces, addressing circuits, timing and sequencing circuits and debugging circuits, have been omitted from the figure for clarity.
- memory device 24 and memory controller 40 are implemented as two separate Integrated Circuits (ICs).
- the memory device and the memory controller may be integrated on separate semiconductor dies in a single Multi-Chip Package (MCP) or System on Chip (SoC), and may be interconnected by an internal bus.
- MCP Multi-Chip Package
- SoC System on Chip
- some or all of the circuitry of the memory controller may reside on the same die on which the memory array is disposed.
- controller 40 can be implemented in software and carried out by a processor or other element of the host system.
- host 44 and memory controller 40 may be fabricated on the same die, or on separate dies in the same device package.
- a single memory controller may be connected to multiple memory devices 24 .
- some or all of the memory controller functionality may be carried out by a separate unit, referred to as a memory extension, which acts as a slave of memory device 24 .
- memory controller 40 comprises a general-purpose processor, which is programmed in software to carry out the functions described herein. The software may be downloaded to the processor in electronic form, over a network, for example, or it may, alternatively or additionally, be provided and/or stored on tangible media, such as magnetic, optical, or electronic memory.
- Memory cells 32 of memory cell array 28 are typically arranged in a grid having multiple rows and columns, commonly referred to as word lines and bit lines, respectively.
- the array is typically divided into multiple pages, i.e., groups of memory cells that are programmed and read simultaneously.
- Memory cells are typically erased in groups of word lines that are referred to as erasure blocks.
- a given memory device comprises multiple memory cell arrays, which may be fabricated on separate dies.
- the storage values stored in memory cells 32 are often associated with varying confidence levels. In other words, when attempting to retrieve data from memory cells 32 by reading their storage values, different storage values may have different likelihoods of truly representing the data that was originally stored.
- the memory cells that are programmed to a given programming state typically have storage values that are distributed in accordance with a certain voltage distribution. The properties of the voltage distributions depend on various factors and impairments, such as inaccuracies in the programming process, interference from neighboring cells, aging effects, and many others.
- R/W unit 36 typically reads the memory cells by comparing their storage values to one or more read thresholds, which are positioned between adjacent programming states.
- a storage value located in a boundary region between adjacent programming states has a relatively high likelihood of falling on the wrong side of a read threshold and causing a read error.
- a storage value located in the middle of the distribution can usually be regarded as reliable.
- memory controller 40 uses estimates of these confidence levels to improve the performance of the data readout process.
- ECC module 47 decodes the ECC by operating on soft metrics, such as Log Likelihood Ratios (LLRs) of the read storage values or of individual bits represented by these storage values.
- LLRs Log Likelihood Ratios
- some of the storage values that are regarded as unreliable or uncertain may be marked as erasures to the ECC module.
- Estimated confidence levels of the read storage values can be used to mark certain storage values as erasures, and/or to produce soft metrics.
- Soft metrics, erasures and/or any other suitable metrics that assist the ECC module in decoding the ECC are referred to herein as ECC metrics.
- the confidence levels can be used in any suitable way to reconstruct the stored data.
- the confidence levels of the storage values can be estimated in various ways.
- R/W unit retrieves data from a group of memory cells 32 by comparing their storage values to one or more read thresholds.
- the R/W unit estimates the confidence levels of these storage values by re-reading the memory cells with a different set of read thresholds, which are positioned so as to identify storage values that are located in boundary regions between adjacent programming states.
- ECC module 47 in memory controller 40 decodes the ECC based on the estimated confidence levels of the read storage values.
- R/W unit 36 transfers the estimated confidence levels from memory device 24 to memory controller 40 over the interface that connects the two devices.
- the additional communication volume created by transferring the estimated confidence levels is high, reduces the readout throughput, and may even be unfeasible.
- R/W unit 36 compresses the estimated confidence levels before transferring them to the memory controller.
- data compression or simply “compression” for brevity
- compression typically means any process that reduces the communication rate or bandwidth that is used for transferring the estimated confidence levels. Compression may be lossless (i.e., required to maintain the original confidence level values without error) or lossy (i.e., allows a certain error probability due to the compression and decompression process).
- R/W unit 36 may compress the estimated confidence levels using any suitable compression scheme. For example, instead of transferring a sequence of estimated confidence levels, the R/W unit may transfer the run lengths of the sequence, i.e., the numbers of successive “0” and “1” runs in the sequence. This compression scheme is commonly known as run-length coding.
- Data compression may be applied to confidence levels derived from multiple readouts retrieved from the same group of memory cells, wherein the multiple readouts are retrieved from the memory cells using multiple distinct read thresholds.
- the distance between adjacent read thresholds is also referred to as a “sampling interval” or simply “interval” for brevity.
- the interval between read thresholds that are used for soft decoding may be set to an optimal interval that attains highest soft decoding performance.
- the memory controller continuously monitors the stress level (the stress level may be measured by the average number of errors in the read data), calculates the optimal sampling interval between the read thresholds, and sets the read thresholds in accordance with the optimal sampling interval for subsequent read operations. In this manner, it is possible to maintain near-optimal decoding performance over varying stress conditions (e.g., while ignoring any readout throughput requirement).
- Sending the confidence levels in a compressed form reduces the data volume transferred from the memory device to the memory controller over the interface that connects between them.
- Higher compression rates are typically desirable because they result in higher readout throughputs.
- Applying data compression to the confidence levels can improve the readout throughput only up to a certain maximal readout throughput, because the compression module has limited compression capabilities that depend on the underlying compression scheme used, and on statistical properties of the confidence levels to be compressed. In general, the statistical properties of the confidence levels depend on the average number of errors in the data read, and on the interval between the read thresholds used for soft decoding.
- INT 1 denote an optimal interval between the read thresholds. INT 1 may be set for correcting an average number N 1 of readout errors expected towards the end of life of the memory device, with a minimal probability of decoding failure.
- the actual average number of readout errors may be N 2 ⁇ N 1 . If at that time the interval INT 2 is set equal to INT 1 , the attainable compression rate may be smaller than the compression rate that would be attainable with an interval INT 2 that is optimal for correcting N 2 ⁇ N 1 errors (with INT 2 ⁇ INT 1 ). This means that depending on the present stress level, the interval between the read thresholds may be adjusted so that soft decoding capabilities are reduced to a minimal level necessary for reliable readout, while achieving the highest compression rate and therefore the highest readout throughput under these conditions.
- FIG. 2 is a flow chart that schematically illustrates a method for adjusting the interval between read thresholds for meeting soft decoding and readout throughput requirements, in accordance with an embodiment that is described herein. The method will be described as executed by memory controller 40 .
- the method begins at a decoding requirement stage 100 , with memory controller 40 determining a maximal number of errors that are required to be corrected by applying a soft decoding scheme to data retrieved from the memory cells.
- the memory controller may determine the maximal number of errors, e.g., based on measuring an average number of errors detected in previously read data.
- the maximal number of errors reflects the health state or the stress level of the memory cells, and is typically expected to increase as the memory device ages.
- the memory controller determines the maximal number of errors by estimating the average number of errors at the present stress level.
- the memory controller may estimate the average number of errors based on retrieving one or more previously stored CWs.
- the memory controller may estimate the average number of errors based on the confidence levels as will be described below.
- the memory controller determines, based on the maximal number of errors, an interval between adjacent read thresholds for reading CWs to be processed using a soft decoding scheme, so as to meet the following conditions: (i) the soft decoding scheme achieves a specified decoding capability requirement, and (ii) a compression rate of the compression module when applied to confidence levels corresponding to readouts of the CWs, achieves a specified readout throughput. Following stage 104 the method loops back to stage 100 to determine another maximal number of errors.
- the memory controller may determine the interval between the read thresholds by estimating multiple attainable compression rates for different respective settings of the interval between the read thresholds, and to select a setting of the interval that meets the conditions.
- the throughput requirement may specify maximizing the readout throughput from the memory device (by maximizing the attainable compression rate).
- the processor may read data from the memory cells in a hard reading mode or in a soft reading mode.
- a hard reading mode a single read threshold is used for producing a single readout that is decoded using a suitable hard decoding scheme.
- the soft reading mode multiple reading thresholds are used for producing multiple respective readouts. Based on the multiple readouts, confidence levels are produces in the memory device, and are typically transferred to the memory controller in a compressed form.
- the memory controller may switch between the hard and soft reading modes, e.g., based on the prevailing conditions of the memory cells.
- the soft reading mode can be invoked, for example, in response to the memory controller detecting that the number of errors exceeds the error correction capability attainable using hard decoding, or in response to detecting that the readout throughput drops below a throughput that is attainable in the soft reading mode.
- the degradation in readout throughput (the degradation is associated with transferring compressed confidence levels to the memory device) can be minimized depending on the state of life (or stress level) of the memory device.
- memory controller 40 of memory system 20 supports switching between the hard reading mode and the soft reading mode, e.g., based on the state of the memory device.
- the memory device when the memory device is at a state close to start of life, data read from memory cells is still highly reliable, and therefore using the hard reading mode with a low-complexity hard decoder is sufficient. As the memory device ages, the readout reliability degrades, and soft decoding may be required for coping with the increased error rate.
- the memory controller decides to apply to subsequent data read from the memory cells a hard decoding scheme or the soft decoding scheme, based on an average number of errors detected in previously read data (CWs). In some embodiments, the memory controller decides to apply the soft decoding scheme to subsequent data read from the memory device, in response to detecting that a first readout throughput achievable using hard decoding is smaller than a second readout throughput achievable using soft decoding with confidence levels that were compressed by the compression module.
- CWs previously read data
- the compressed confidence levels are typically transferred to the memory controller over the interface with some latency.
- latency may be controlled, for example, by the processor properly setting the data rate of the interface depending on the compression rate. For example, for a lower compression rate, the memory controller configures the interface to a higher data rate, and vice versa.
- the memory controller increases the bus frequency (and therefore the data rate over the interface) when data compression is applied to the confidence levels, in order to compensate for additional compressed data transferred over the bus.
- the memory controller identifies low parallelism random readout operations that are not constrained by the data rate of the interface, and sets the compression module so as not to compress the confidence levels of the identified readout operations.
- the confidence levels of the identified readout operation are transferred to the memory controller uncompressed.
- the latency incurred by applying data compression to the confidence levels can be “hidden” by properly ordering the readout operations from the different dies.
- the memory controller reads compressed confidence levels from a first die among the multiple dies while one or more other dies among the multiple dies are occupied in compressing local confidence levels.
- data compression module 45 supports multiple compression configurations.
- the memory controller may select a compression configuration among the supported compression configurations that meets the throughput requirement.
- the multiple compression configurations may have multiple respective constant compression rates.
- the processor may select among these compression configurations based on any other suitable criterion such as, for example, minimal latency.
- the data compression module comprises a variable-rate compression configuration.
- the memory controller receives the compressed confidence levels via the interface in multiple data segments having respective data lengths, in accordance with the variable-rate compression configuration.
- Operating in a variable-rate compression configuration may require coordination between the memory controller and the memory device in transferring the compressed confidence levels.
- it may be required to switch among the different compression schemes so as to utilize the compression scheme that maximizes the compression rate in a given state of the memory device.
- the memory controller estimates the attainable compression rate, programs the desired compression scheme in the memory device, and requests transmission of a specific data size in order to spare bandwidth and optimize performance. In such embodiments, a gradual decrease is achieved in the readout throughput as the stress level on the memory device increases.
- the memory controller may estimate the attainable compression rate based, for example, on the number of measured errors and on the sampling interval between adjacent read thresholds, in an embodiment. In another embodiment, the memory controller may estimate the attainable compression ratio by direct evaluation of the statistical properties of the confidence levels based on the number of memory cells falling between read thresholds.
- FIG. 3 is a diagram that schematically illustrates graphs depicting attainable readout throughputs corresponding to stress levels applied to the memory device, in accordance with an embodiment that is described herein.
- the horizontal axis corresponds to stress levels applied to the memory cells (e.g., measured as the average number of readout errors), and the vertical axis corresponds to readout throughput from the memory device.
- Graphs 200 and 206 correspond to embodiments in which the memory device supports variable-rate compression, and the interval between the read thresholds is adapted to meet error correction and readout throughput requirements, as described above.
- Graph 204 corresponds to a compression scheme in which no compression is applied in the hard decoding mode, and a single fixed-rate compression is applied in soft decoding mode.
- a vertical dotted line 208 separates between low stress levels that require hard decoding, and high stress levels that require soft decoding. For stress levels below line 208 operating in the hard reading mode with hard decoding is sufficiently reliable. For stress levels above line 208 operating in the soft reading mode with a suitable soft decoding scheme is required for reliable decoding. It is also assumed that when using soft decoding, the confidence levels are transferred to the memory controller in a compressed form.
- the memory device transfers to the memory controller only hard data but no confidence levels. Consequently, the memory system achieves a maximal readout throughput denoted Max. TP.
- Max. TP the readout throughput drops to a value denoted Min. Comp. TP, because the compressed confidence values that are transferred over the interface require additional bandwidth.
- Min. Comp. TP the readout throughput in graph 200 reduces gradually with increasing the stress level. This behavior is desirable, compared to a sharp degradation in the throughput as seen in graphs 204 and 206 .
- the data compression module may support multiple data compression configurations having different respective constant compression rates.
- lines 204 (nonadaptive scheme) and 206 (adaptive scheme) correspond to two different fixed-rate compression configurations.
- the highest attainable compression rate corresponds to the horizontal line of graph 206 .
- the memory controller may need to increase the sampling interval and switch to a compression rate indicated by the horizontal line of graph 204 , which is lower than that of graph 206 .
- FIG. 4 is a flow chart that schematically illustrates a method for optimizing soft decoding capabilities by adapting an interval between read thresholds, in accordance with an embodiment that is described herein. The method will be described as executed by memory controller 40 .
- the method begins at a decoding requirement stage 250 , with memory controller 40 determining a maximal number of errors that are required to be corrected by applying a soft decoding scheme to data retrieved from the memory cells.
- Stage 250 is essentially similar to stage 100 of the method of FIG. 2 above.
- the maximal number of errors typically reflects the stress level applied to the memory cells.
- the memory controller determines, based on the maximal number of errors, an interval between multiple read thresholds for reading Code Words (CWs) stored in the memory cells for processing by the soft decoding scheme, so as to achieve a specified decoding capability requirement. In some embodiments, as will be described with reference to FIG. 5 below, the memory controller determines an optimal interval between the read thresholds so that the soft decoding scheme aims to correct the maximal number of errors with a lowest decoding failure rate.
- CWs Code Words
- the memory controller determines the interval at stage 254 independently of any previous settings of the interval. In other embodiments, the memory controller stores one or more previous values of the interval and uses the stored interval values together with the present interval value to determine a final interval value to be set. For example, the memory controller applies a smoothing filter or a control loop to the previous and present interval values so as to smooth among the interval values along multiple setting operations of the interval.
- the memory controller configures the read thresholds based on the interval of stage 254 for subsequent read operations. Following stage 258 the method terminates.
- FIG. 5 is a flow chart that schematically illustrates a method for determining an interval between read thresholds that is optimal for a given stress level, in accordance with an embodiment that is described herein.
- the method of FIG. 5 may be used in implementing stage 254 of the method of FIG. 4 above, when the soft decoding requirement specifies to maximize the decoding performance.
- the method begins with the memory controller reading a CW from a group of memory cells using multiple read thresholds, to produce multiple respective readouts, at a soft reading stage 272 .
- the multiple read thresholds may be centered about an optimal read threshold.
- the memory controller estimates the number of errors (Ne).
- the estimation of Ne may be based, for example, on estimating the underlying voltage distributions, as will be described in detail below. Methods for implementing stage 276 will be described in detail further below.
- the memory controller proceeds to an optimal interval determination stage 280 .
- Ne of stage 268 or 276 may be used as the maximal number of errors, in some embodiments described above.
- the memory controller maps the number of errors Ne into an optimal interval that minimizes decoding failure rate for Ne.
- optimal interval values for respective Ne values are determined beforehand and used at stage 280 , e.g., in the form of a formulated function or a lookup table.
- the memory controller sets the read thresholds with the optimal interval for subsequent soft read operations.
- multiple optimal interval values that are produced at stage 280 are subjected to a smoothing process, and the resulting smoothed interval is used as the optimal interval at stage 284 .
- the method terminates.
- the CW is read from a page of a given bit significance value.
- the CW may be stored in one of three page-types denoted a Least Significance Bit (LSB) page, a Most Significant Bit (MSB) page and an Upper Significance Bit (USB) page.
- LSB Least Significance Bit
- MSB Most Significant Bit
- USB Upper Significance Bit
- a middle range (or a zone) of threshold voltages between adjacent PVs is sometimes denoted a “Read Voltage” (RV).
- RV Read Voltage
- the memory controller models the underlying voltage distributions.
- Equation 1 ⁇ m denotes the m th nominal programming voltage PVm, and ⁇ m 2 denotes the variance parameter of the m th distribution about PVm. Since the nominal programming voltages are known, it is sufficient to estimate the variances (or standard deviations) to determine the Gaussian distributions.
- the memory controller estimates the number of memory cells (denoted NC RVm ) falling between T1 m and T2 m , and uses NC RVm to solve Equation 2 below for ⁇ m .
- the memory controller estimates NC RVm by performing a logical XOR operation between RD1 and RD2, and counting the number of ‘1’ values in the outcome of the XOR operation.
- the memory controller estimates ⁇ m by solving the following equation:
- NC RVm 1 M [ Q ⁇ ( T ⁇ 1 m - ⁇ m - 1 ⁇ m ) - Q ⁇ ( T ⁇ 2 m - ⁇ m - 1 ⁇ m ) + Q ⁇ ( ⁇ m - T ⁇ 2 m ⁇ m ) - Q ⁇ ( ⁇ m - T ⁇ 1 m ⁇ m ) ] Equation ⁇ 2
- the memory device reads a CW by setting T1 m and T2 m for multiple m values of RVm.
- the number of memory cells between two read thresholds corresponds to multiple RVs and should be divided among the RVs before solving Equation 2 for a specific RVm.
- the memory controller divides the number of memory cells evenly among the relevant RVs. In another embodiment, the memory controller divides the number of memory cells in accordance with a predefined ratio among the relevant RVs.
- the memory controller solves Equation 2 numerically for estimating ⁇ m .
- the memory controller uses the estimated Gaussian distributions f m (v) and f m-1 (v), the memory controller estimates the number of errors Ne (m) for each relevant RVm, and maps Ne (m) into the optimal interval between T1 m and T2 m . It should be noted that in general, different optimal intervals may be determined for different RVs.
- the mapping of Ne (m) into the interval between the read thresholds is determined beforehand, e.g., based on evaluating the Mutual Information between the bits of the stored CW and the corresponding quantized voltages read from the corresponding memory cells.
- the mutual information measure quantifies the “amount of information” (e.g., in units of bits) obtained about one random variable by observing the other random variable.
- the mutual information measures the amount of information obtained on the correct CW bits as stored, by observing the CW bits retrieved from the memory device.
- the mutual information depends on the interval between read thresholds and reaches a maximal value for a certain interval value.
- the interval value that maximizes the mutual information results in minimizing the probability of decoding failure for Ne and is therefore considered an “optimal interval.”
- the mapping of Ne to the optimal interval can be derived by tabulating for several values of the number of errors respective optimal intervals. Alternatively, the mapping function may be implemented using any suitable form.
- the compression module implements a lossy compression scheme.
- the compression operation applied to the confidence levels may increase the number of errors to be corrected.
- the memory controller takes into consideration the average number of errors (Ne) and the number errors expected to be caused by the lossy compression scheme, in mapping the number of errors to the optimal interval.
- the confidence levels of a given CW typically have a large number of high confidence values and a much lower number of low confidence values.
- the attainable compression rate of the confidence levels typically dependents on the statistical properties of the confidence levels, which in turn depend on the interval between the read thresholds and on the underlying voltage distributions about the PVs. By modeling the underlying voltage distributions, and for a selected interval, the memory controller can estimate the attainable compression rate, as described herein.
- the corresponding confidence levels are indicative of a high confidence level (a ‘0’ value) for memory cells that fall below T1 m and above T2 m , and are indicative of a low confidence level (‘1’ value) for memory cells that fall between T1 m and T2 m .
- a useful statistical property of the confidence levels is the ratio between the number of ‘1’ values and the overall number of memory cells in the sequence of confidence levels. This ratio is denoted R1 and is also referred to herein as a “ones ratio.”
- a sequence of confidence levels having a low-valued ones-to-zero ratio has relatively long contiguous subsequences of zeros, and is therefore better compressible than a sequence of confidence level having a high-valued ones ratio.
- the memory controller estimates R1 directly by counting the number of memory cells falling in the inner-zone, e.g., by applying a logical bitwise XOR operation between readouts corresponding to T1 m and T2 m ).
- the memory controller estimates the ones ratio as given by:
- R ⁇ 1 ⁇ " ⁇ [LeftBracketingBar]" ⁇ " ⁇ [RightBracketingBar]” M ⁇ ⁇ m ⁇ p [ Q ⁇ ( T ⁇ 1 m - ⁇ m - 1 ⁇ m ) - Q ⁇ ( T ⁇ 2 m - ⁇ m - 1 ⁇ m ) + Q ⁇ ( ⁇ m - T ⁇ 2 m ⁇ m ) - Q ⁇ ( ⁇ m - T ⁇ 1 m ⁇ ) ] Equation ⁇ 3
- the memory controller has estimated the underlying voltage distributions, e.g., Gaussian distributions in the present example, meaning that ⁇ m , ⁇ m-1 and ⁇ m are known.
- the memory controller may estimate the voltage distributions, for example, using the methods described above that make use of Equation 2.
- the processor may determine the maximal number of errors using an alternative method to the one described above.
- the memory controller estimates the maximal number of errors by retrieving a CW from the memory cells using a single read threshold, decoding the retrieved CW using a hard decoding scheme for producing a decoded CW, and in response to detecting that the CW is successfully decodable using the hard decoding scheme, calculating the maximal number of errors by comparing between the retrieved CW and the decoded CW.
- FIG. 6 is a flow chart that schematically illustrates a method for estimating the attainable compression rate of confidence levels depending on the interval between read thresholds, in accordance with an embodiment that is described herein.
- memory controller 40 estimates R1 using Equation 3 above, it is assumed that before or during execution of the present method, memory controller 40 estimates the underlying voltage distributions, as described above.
- the method of FIG. 6 begins with memory controller 40 selecting an interval between read thresholds for reading CWs stored in the memory cells for processing by a soft decoding scheme, at an interval selection stage 300 .
- the memory device produces from multiple readouts of a CW, confidence levels that the memory controller uses in decoding the CW using a soft decoding scheme.
- the memory controller may select the interval using any suitable method. For example, in one embodiment, the memory controller selects an optimal interval for a given stress level using the method of FIG. 5 . In other embodiments, the memory controller may select an interval shorter than the optimal interval, e.g., for increasing the attainable compression rate while compromising on reduced soft decoding capabilities.
- the memory controller estimates statistical properties of the confidence levels corresponding the retrieved CW, at a statistical-properties estimation stage 304 . For example, the memory controller determines T1 m and T2 m based on the interval, and assuming having modeled the underlying voltage distributions, calculates R1, e.g., using Equation 3 above.
- the memory controller determines an attainable compression rate for compressing the confidence levels, the attainable compression rate corresponds to an attainable readout throughput.
- the memory controller maps the ones ratio R1 to the attainable compression rate using a predefined mapping or function. The mapping depends on the underlying compression scheme and is determined beforehand.
- the memory controller configures the compression module in the memory device, in accordance with the attainable compression rate for transmitting the confidence levels at (or close to) the attainable readout throughput.
- the compression scheme is a variable-rate compression scheme
- the memory controller configures the memory device to transmit the compressed confidence levels with a size limitation of the transactions.
- the compression scheme is based on multiple fixed-rate compression schemes
- the memory controller selects a suitable fixed-rate scheme that achieves the attainable compression rate. Following stage 312 the method terminates.
- FIG. 7 is a diagram that schematically illustrates efficient scheduling in sending hard data and compressed confidence levels from two dies to the memory controller over a common channel, in accordance with an embodiment that is described herein.
- a common channel e.g., a bus or link.
- tasks are depicted as blocks whose lengths represent respective durations of these tasks.
- the second task is depicted to the right of the first task.
- each of the two dies comprises four planes denoted P0 . . . P3.
- P0 . . . P3 the number of planes per die can also be used.
- Die 0 and Die 1 is operated in an independent plane interleaving mode to maximize performance. In this mode, the memory device supports independent read operations across multiple planes (independent both in time and in address spaces). Throughput may be maximized in this mode, by proper scheduling of reading from the different planes.
- the memory controller reads data from Die 0 and Die 1 over the common channel.
- the various task types in FIG. 7 are summarized herein. In the figure, repeating tasks are numbered only once for the sake of clarity.
- Task 350 refers to memory array sensing with confidence intervals from one plane.
- Tasks 354 and 358 refer respectively to copying hard data and soft data to the output buffer of the memory device.
- Task 362 refers to compression of soft data.
- Tasks 366 and 370 respectively refer to outputting hard data and soft data to the memory controller.
- memory controller 40 starts a read operation by sending one or commands indicating to the memory device to read a CW (or multiple CWs) from a selected plane of Die 0 or Die 1, using one or more read thresholds.
- the memory controller may indicate to the memory device multiple read thresholds to be used, e.g., having a selected interval between adjacent read thresholds.
- the memory device produces hard data and corresponding soft data (e.g., confidence levels) and sends the hard data and the soft data to the memory controller, for decoding the CW in question.
- the memory device sends the hard data and corresponding soft data to the memory controller at different time slots.
- the memory device sequentially transmits the hard data from P0 up to P3, and later sequentially transmits the soft data from P0 up to P3.
- This scheduling order is given by way of example, and in alternative embodiments other suitable orders and schedules can also be used.
- the data compression duration is very long, e.g., can be even longer than the time duration it would have taken to transfer to the memory controller the soft data uncompressed.
- the memory system queues operations within the memory device so that data compression operations in one die will be performed in parallel to outputting data by the other die, for efficient utilization of the channel.
- the resulting periodic order of outputting data from the memory device to the memory controller is given as:
- the memory controller requires sufficient buffering area to store two full dies worth of data (to store pages read from the two dies across all planes), so that the common channel from the two dies to the memory controller is utilized continuously. Storage space in the memory controller may be further saved by applying various scheduling schemes with improved optimization by trading-off performance.
- FIG. 7 refers to an embodiment having a single channel shared by two dies
- the scheduling used in FIG. 7 may be extended to support more than two dies.
- the scheduling scheme in FIG. 7 (or an extended scheme for more than two dies per channel) can be used in parallel over the multiple channels.
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Abstract
Description
-
- M denotes the total number of PVs, e.g., M=8 for a TLC device.
- m=0 . . . M−1 denotes the mth PV.
- RVm for m=1 . . . M−1 denotes the index of the RV corresponding to the zone between PVm and PVm−1.
- μm and μm-1 denote the nominal programming voltages of PVm and PVm−1.
- σm denotes a common standard deviation of the Gaussian distributions corresponding to PVm and PVm−1.
- T1m and T2m denote the left side and right side read threshold used for RVm.
- NCRVm denotes the number of memory cells falling between read thresholds T1m and T2m.
- Q(⋅) is the tail distribution function of the standard normal distribution, also known as the Q-function.
-
- M denotes the total number of PVs, e.g., M=8 for a TLC device.
- m=0 . . . M−1 denotes the mth PV.
- denotes the set of RVs (RVm for selected m values) participating in reading the underlying CW, and || denotes the cardinality of .
- μm and μm-1 denote the nominal programming voltages of PVm and PVm−1.
- T1m and T2m denote the left side and right side read threshold used for RVm.
- Q(⋅) is the tail distribution function of the standard normal distribution, also known as the Q-function.
-
- Output hard data from
Die 0. - Output soft data from Die 1 (the memory controller decodes four CWs read from P0 . . . P3 of
Die 1, and purges previously stored hard data). - Output hard data from
Die 1. - Output soft data from Die 0 (the memory controller decodes four CWs read from P0 . . . P3 of
Die 0, and purges previously stored hard data).
- Output hard data from
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